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Scopus Q: Q1Subject: Fixed point

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Now showing 1 - 6 of 6
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    Citation - WoS: 27
    Citation - Scopus: 28
    Generalized Meir-Keeler Type Contractions on g-metric Spaces
    (Elsevier Science inc, 2013) Mustafa, Zead; Aydi, Hassen; Karapinar, Erdal
    In this manuscript, we introduce generalized Meir-Keeler type contractions over G-metric spaces. Moreover, we show that every orbitally continuous generalized Meir-Keeler type contraction has a unique fixed point on complete G-metric spaces. We illustrate our results by some given examples. (C) 2013 Elsevier Inc. All rights reserved.
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    Citation - Scopus: 54
    On Fixed Point Results for Α-Implicit Contractions in Quasi-Metric Spaces and Consequences
    (Lithuanian Association of Nonlinear Analysts, 2015) Aydi,H.; Jellali,M.; Karapınar,E.
    In this paper, we prove some fixed point results involving α-implicit contractions in quasi-metric spaces. Moreover, we provide some known results on G-metric spaces. An example and an application on a solution of a nonlinear integral equation are also presented. © Vilnius University, 2016.
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    Citation - WoS: 45
    Citation - Scopus: 45
    A Note on "some Results on Multi-Valued Weakly Jungck Mappings in b-metric Space"
    (versita, 2013) Bota, Monica-Felicia; Karapinar, Erdal
    The proofs of Theorems 2.1, 2.2 and 2.3 from [Olatinwo M.O., Some results on multi-valued weakly jungck mappings in b-metric space, Cent. Eur. J. Math., 2008, 6(4), 610-621] base on faulty evaluations. We give here correct but weaker versions of these theorems.
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    Citation - WoS: 67
    An Ulam stability result on quasi-b-metric-like spaces
    (Sciendo, 2016) Alsulami, Hamed H.; Gulyaz, Selma; Karapinar, Erdal; Erhan, Inci M.
    In this paper a class of general type alpha-admissible contraction mappings on quasi-b-metric-like spaces are defined. Existence and uniqueness of fixed points for this class of mappings is discussed and the results are applied to Ulam stability problems. Various consequences of the main results are obtained and illustrative examples are presented.
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    Article
    On Fixed Point Results for Α-Implicit Contractions in Quasi-Metric Spaces and Consequences
    (Lithuanian Association of Nonlinear Analysts, 2015) Aydi,H.; Jellali,M.; Karapınar,E.
    In this paper, we prove some fixed point results involving α-implicit contractions in quasi-metric spaces. Moreover, we provide some known results on G-metric spaces. An example and an application on a solution of a nonlinear integral equation are also presented. © Vilnius University, 2016.
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    Article
    Citation - WoS: 11
    Citation - Scopus: 15
    Fixed points for cyclic orbital generalized contractions on complete metric spaces
    (de Gruyter Open Ltd, 2013) Karapinar, Erdal; Romaguera, Salvador; Tas, Kenan
    We prove a fixed point theorem for cyclic orbital generalized contractions on complete metric spaces from which we deduce, among other results, generalized cyclic versions of the celebrated Boyd and Wong fixed point theorem, and Matkowski fixed point theorem. This is done by adapting to the cyclic framework a condition of Meir-Keeler type discussed in [Jachymski J., Equivalent conditions and the Meir-Keeler type theorems, J. Math. Anal. Appl., 1995, 194(1), 293-303]. Our results generalize some theorems of Kirk, Srinavasan and Veeramani, and of Karpagam and Agrawal.